Cremona's table of elliptic curves

93240 = 2³ · 3² · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
93240a (1 curve)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  0  1  0  4
Curve Equation t Generators 93240a1 [0,0,0,100332,43291908] 1 [-234:2646:1]
93240b (2 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+ -2 -6  2 -4
Curve Equation t Generators 93240b1 [0,0,0,7317,1124118] 2 [-54:756:1] 93240b2 [0,0,0,-127683,16433118] 2 [946:27244:1]
93240c (2 curves)	2	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -6 -4  2  2
Curve Equation t Generators 93240c1 [0,0,0,-4023,1130922] 2 [-101:712:1]&[-9:1080:1] 93240c2 [0,0,0,-189243,31469958] 2 [-441:5400:1]&[207:1080:1]
93240d (2 curves)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+ -2  6  2  8
Curve Equation t 93240d1 [0,0,0,54378,-31972239] 2 93240d2 [0,0,0,-1239327,-504692046] 2
93240e (2 curves)	0	2+ 3+ 5- 7+ 37+	2+ 3+ 5- 7+  6  6  2  0
Curve Equation t 93240e1 [0,0,0,-86022,9796761] 2 93240e2 [0,0,0,-1379727,623789154] 2
93240f (2 curves)	1	2+ 3+ 5- 7+ 37-	2+ 3+ 5- 7+  2  2  2  0
Curve Equation t Generators 93240f1 [0,0,0,-17307,933606] 2 [90:324:1] 93240f2 [0,0,0,-281907,57610926] 2 [8310:908:27]
93240g (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  2 -4  6  2
Curve Equation t 93240g1 [0,0,0,-1242,10449] 2 93240g2 [0,0,0,3753,73386] 2
93240h (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7- -4  0  2  0
Curve Equation t 93240h1 [0,0,0,-2187,60534] 2 93240h2 [0,0,0,-39987,3076974] 2
93240i (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  6  0 -2 -6
Curve Equation t 93240i1 [0,0,0,-76842,-8198199] 2 93240i2 [0,0,0,-71847,-9310086] 2
93240j (2 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  6 -2  2  8
Curve Equation t 93240j1 [0,0,0,574533,-111268026] 2 93240j2 [0,0,0,-2800467,-975943026] 2
93240k (2 curves)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+  0  0  6  6
Curve Equation t 93240k1 [0,0,0,-2838,-53863] 2 93240k2 [0,0,0,-44463,-3608638] 2
93240l (2 curves)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+ -4  4 -2 -2
Curve Equation t 93240l1 [0,0,0,-3804078,2842839673] 2 93240l2 [0,0,0,-60788703,182424186898] 2
93240m (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  3  2 -5  6
Curve Equation t Generators 93240m1 [0,0,0,-2202483,-1258339682] 1 [296614775:40738753764:15625]
93240n (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  1 -2  7 -2
Curve Equation t Generators 93240n1 [0,0,0,2157,-120962] 1 [143:1764:1]
93240o (2 curves)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  4  4 -2 -2
Curve Equation t Generators 93240o1 [0,0,0,-74478,7706977] 2 [176:225:1] 93240o2 [0,0,0,-151023,-10832222] 2 [-309:2516:1]
93240p (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  0  4  2 -6
Curve Equation t Generators 93240p1 [0,0,0,-7414662,7771143809] 2 [1388:12395:1] 93240p2 [0,0,0,-7456287,7679477234] 2 [1343:9380:1]
93240q (1 curve)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  1  6  5 -2
Curve Equation t Generators 93240q1 [0,0,0,-104349747,528373499614] 1 [8543:510300:1]
93240r (1 curve)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  4 -6  2 -5
Curve Equation t Generators 93240r1 [0,0,0,-136947,19506391] 1 [231:445:1]
93240s (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+ -6  4  2  0
Curve Equation t Generators 93240s1 [0,0,0,-25527,-8764054] 2 [322:4050:1] 93240s2 [0,0,0,-813027,-281081554] 2 [2422:109350:1]
93240t (1 curve)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+  0  7 -2 -4
Curve Equation t 93240t1 [0,0,0,32253,-5086114] 1
93240u (1 curve)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+  6 -5 -2  8
Curve Equation t 93240u1 [0,0,0,-3214812,-2218613164] 1
93240v (1 curve)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  3  6  1 -6
Curve Equation t Generators 93240v1 [0,0,0,-3027,133054] 1 [143:1620:1]
93240w (4 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  4  2  2  0
Curve Equation t Generators 93240w1 [0,0,0,-7692924522,-259707995802439] 2 [851906:90734175:8] 93240w2 [0,0,0,-7692926727,-259707839479846] 4 [4410928294858:469795871986875:41421736] 93240w3 [0,0,0,-7629139227,-264226278072346] 2 [2398928555816830:-5105306898974319982:529475129] 93240w4 [0,0,0,-7756749507,-255179396241394] 2 [-14971775:-166045788:343]
93240x (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  4 -4 -2 -2
Curve Equation t Generators 93240x1 [0,0,0,-20667,-1206074] 2 [207:1840:1] 93240x2 [0,0,0,-335667,-74853074] 2 [1782:70610:1]
93240y (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+  2  6 -2  8
Curve Equation t 93240y1 [0,0,0,6042,1184157] 2 93240y2 [0,0,0,-137703,18692298] 2
93240z (2 curves)	0	2- 3+ 5+ 7+ 37+	2- 3+ 5+ 7+ -6  6 -2  0
Curve Equation t 93240z1 [0,0,0,-9558,-362843] 2 93240z2 [0,0,0,-153303,-23103302] 2
93240ba (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -2  2 -2  0
Curve Equation t Generators 93240ba1 [0,0,0,-1923,-34578] 2 [54:138:1] 93240ba2 [0,0,0,-31323,-2133738] 2 [2014:90022:1]
93240bb (2 curves)	2	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -2 -4 -6  2
Curve Equation t Generators 93240bb1 [0,0,0,-138,-387] 2 [-6:15:1]&[22:85:1] 93240bb2 [0,0,0,417,-2718] 2 [9:42:1]&[13:70:1]
93240bc (2 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  4  0 -2  0
Curve Equation t 93240bc1 [0,0,0,-243,-2242] 2 93240bc2 [0,0,0,-4443,-113962] 2
93240bd (2 curves)	2	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -6  0  2 -6
Curve Equation t Generators 93240bd1 [0,0,0,-8538,303637] 2 [-94:525:1]&[-58:777:1] 93240bd2 [0,0,0,-7983,344818] 2 [-99:406:1]&[41:-294:1]
93240be (2 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7- -6 -2 -2  8
Curve Equation t 93240be1 [0,0,0,63837,4121038] 2 93240be2 [0,0,0,-311163,36146038] 2
93240bf (1 curve)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+  0  1  0  4
Curve Equation t Generators 93240bf1 [0,0,0,11148,-1603404] 1 [372:7350:1]
93240bg (2 curves)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+  2 -6 -2 -4
Curve Equation t Generators 93240bg1 [0,0,0,813,-41634] 2 [67:560:1] 93240bg2 [0,0,0,-14187,-608634] 2 [142:490:1]
93240bh (2 curves)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+  6 -4 -2  2
Curve Equation t 93240bh1 [0,0,0,-447,-41886] 2 93240bh2 [0,0,0,-21027,-1165554] 2
93240bi (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  0  0 -2  2
Curve Equation t Generators 93240bi1 [0,0,0,-97158,1468357] 2 [14:333:1] 93240bi2 [0,0,0,-1137783,466211482] 2 [881:-12150:1]
93240bj (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  0  0 -2  6
Curve Equation t Generators 93240bj1 [0,0,0,2157,-25058] 2 [18:140:1] 93240bj2 [0,0,0,-10443,-219098] 2 [378:7060:1]
93240bk (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -6  2 -2 -6
Curve Equation t Generators 93240bk1 [0,0,0,-3219123,-3331512322] 2 [40486:8138034:1] 93240bk2 [0,0,0,-58344123,-171495837322] 2 [58832402942:11654122794498:1442897]
93240bl (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -6 -3 -8  2
Curve Equation t Generators 93240bl1 [0,0,0,-5403,-153578] 1 [734:19782:1]
93240bm (1 curve)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+  4  2 -2 -3
Curve Equation t 93240bm1 [0,0,0,477,2403] 1
93240bn (1 curve)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+  6 -5  6 -8
Curve Equation t 93240bn1 [0,0,0,-56748,-5694428] 1
93240bo (2 curves)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  2  6  6  6
Curve Equation t 93240bo1 [0,0,0,-285123,-60685522] 2 93240bo2 [0,0,0,-4606923,-3805957402] 2
93240bp (2 curves)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -4  0  6  6
Curve Equation t 93240bp1 [0,0,0,-416118,100996733] 2 93240bp2 [0,0,0,-6616263,6550387562] 2
93240bq (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  5  3  3  0
Curve Equation t 93240bq1 [0,0,0,492,1748] 1
93240br (1 curve)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7- -5  2  3  2
Curve Equation t 93240br1 [0,0,0,-41515563,-107863164362] 1
93240bs (4 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0 -2 -2 -4
Curve Equation t Generators 93240bs1 [0,0,0,-104898,-13076723] 2 [389:2232:1] 93240bs2 [0,0,0,-104943,-13064942] 4 [-186:140:1] 93240bs3 [0,0,0,-71643,-21503162] 2 [1146:37436:1] 93240bs4 [0,0,0,-138963,-3872738] 2 [-58:1998:1]
93240bt (1 curve)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0  4 -8  5
Curve Equation t Generators 93240bt1 [0,0,0,-3,187] 1 [-3:13:1]
93240bu (4 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  4  6 -2  0
Curve Equation t Generators 93240bu1 [0,0,0,-2030178,-1113347923] 2 [3289:166698:1] 93240bu2 [0,0,0,-2138223,-988253422] 4 [-869:14616:1] 93240bu3 [0,0,0,4291557,-5786155258] 2 [23666:1448811:8] 93240bu4 [0,0,0,-10296723,11815696478] 2 [5606:360934:1]
93240bv (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -4 -1 -2 -8
Curve Equation t 93240bv1 [0,0,0,-961081707,-11468251512506] 1
93240bw (4 curves)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -4  2 -2  4
Curve Equation t 93240bw1 [0,0,0,2913,2914] 2 93240bw2 [0,0,0,-11667,23326] 4 93240bw3 [0,0,0,-125067,-16963994] 2 93240bw4 [0,0,0,-131547,18317014] 2
93240bx (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+ -4  6 -2 -1
Curve Equation t 93240bx1 [0,0,0,5553,15712839] 1
93240by (4 curves)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+  0  2  2  0
Curve Equation t Generators 93240by1 [0,0,0,-18282,816181] 4 [110:369:1] 93240by2 [0,0,0,-79887,-7894766] 4 [-195:518:1] 93240by3 [0,0,0,99933,-38356274] 2 [291:3920:1] 93240by4 [0,0,0,-1245387,-534933866] 2 [-645:68:1]
93240bz (1 curve)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+ -3 -7 -7  0
Curve Equation t Generators 93240bz1 [0,0,0,17628,76460596] 1 [3876:241610:1]
93240ca (4 curves)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+ -4 -6  2  4
Curve Equation t Generators 93240ca1 [0,0,0,5118,-68731] 2 [38:425:1] 93240ca2 [0,0,0,-23007,-580606] 4 [-107:810:1] 93240ca3 [0,0,0,-189507,31354094] 2 [323:1960:1] 93240ca4 [0,0,0,-306507,-65275306] 2 [-317:180:1]
93240cb (2 curves)	1	2- 3- 5- 7- 37+	2- 3- 5- 7-  0  0 -6 -6
Curve Equation t Generators 93240cb1 [0,0,0,-3342,68101] 2 [62:-315:1] 93240cb2 [0,0,0,-11847,-420086] 2 [-67:270:1]
93240cc (2 curves)	1	2- 3- 5- 7- 37+	2- 3- 5- 7-  4 -4  2  2
Curve Equation t Generators 93240cc1 [0,0,0,-5862,-58291] 2 [-22:245:1] 93240cc2 [0,0,0,-52167,4544426] 2 [97:-630:1]
93240cd (4 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7- -4  2  2  4
Curve Equation t 93240cd1 [0,0,0,12273,-2356846] 4 93240cd2 [0,0,0,-208227,-34152946] 4 93240cd3 [0,0,0,-674427,172746614] 2 93240cd4 [0,0,0,-3270027,-2276002906] 2
93240ce (4 curves)	2	2- 3- 5- 7- 37-	2- 3- 5- 7- -4 -2 -6  0
Curve Equation t Generators 93240ce1 [0,0,0,-134202,-8156171] 2 [-282:2695:1]&[-247:3150:1] 93240ce2 [0,0,0,-1106607,442456306] 4 [887:-12600:1]&[-1003:23310:1] 93240ce3 [0,0,0,-127587,1197672334] 2 [-877:25200:1]&[54:34510:1] 93240ce4 [0,0,0,-17644107,28526438806] 4 [-4678:93240:1]&[-3013:233100:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations